ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The set {Z\ {0} } is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

• A A
• B B
• A' C
• None of these D

• A A
• A' B
• U C
• U' D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

• A A
• A' B
• U C
• A A' D

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D